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WorksheetYear 12Level 2 · Standard

Free Year 12 Factorising and Solving Quadratics Worksheet — Level 2

Factorise monic quadratics and solve quadratic equations by factorising. Expected-level practice for this year group. This Year 12 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 12
Subject
Maths
Topic
Quadratics
Difficulty
Level 2 · Standard
Estimated time
15 minutes
Curriculum
New Zealand Curriculum
Questions
10
Answers
Included, with working
Format
PDF (A4) + print

Students will practise

  • factorising quadratic expressions
  • solving quadratic equations by factorising
  • applying the null factor law

Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 12 Factorising and Solving Quadratics Worksheet — Level 2

  1. 1Year 12 Factorising and Solving Quadratics Worksheet — Level 3
  2. 2Year 12 Simultaneous Equations Worksheet — Level 1
  3. 3Year 12 Simultaneous Equations Worksheet — Level 2
  4. 4Year 12 Simultaneous Equations Worksheet — Level 3
← Easier: Level 1 · EasierHarder: Level 3 · Challenge →Study guide

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 12 students (typically ages 16–17) working on quadratics. It is pitched at level 2 · standard; an easier version and a harder version are linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 12 Factorising and Solving Quadratics Worksheet — Level 3.

Preview

Success TutoringWorksheetsYear 12 · Mathematics · Quadratics

Year 12 Factorising and Solving Quadratics Worksheet — Level 2

Name

Date

Score /

Factorise, then use the null factor law.

1.Solve: x2 + 8x − 9 = 0
2.Solve: x2 − 8x + 15 = 0
3.Solve: x2 − 7x + 6 = 0
4.Solve: x2 − 11x + 30 = 0
5.Solve: x2 − 3x − 18 = 0
6.Solve: x2 − 12x + 27 = 0
7.Solve: x2 + 4x − 5 = 0
8.Solve: x2 + x − 12 = 0
9.Solve: x2 + 5x + 6 = 0
10.Solve: x2 − 2x − 63 = 0
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 12 quadratics resources

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  • Worksheet

    Year 12 Factorising and Solving Quadratics Worksheet — Level 3

    Factorise monic quadratics and solve quadratic equations by factorising. A challenge set for students ready to stretch further. This Year…

    Difficulty
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    Time
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    Questions
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    Answers
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Quadratics in other year levels

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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

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